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Finding the Fourth Proportional to 592.83, 817.79 and 344.10

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Solution

The fourth proportional to 592.83, 817.79 and 344.10 is: 474.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.83 : 817.79 = 344.10 : x
  2. Step 2: Convert to fraction form
    592.83/817.79 = 344.10/x
  3. Step 3: Cross multiply
    592.83x = 817.79 × 344.10
  4. Step 4: Simplify right side
    592.83x = 281,401.54
  5. Step 5: Solve for x
    x = 281,401.54/592.83
  6. Step 6: Final answer
    x = 474.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.